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Finding the Third Proportional to 150,856.13 and 223,672.69

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Solution

The third proportional to 150,856.13 and 223,672.69 is: 331,636.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,856.13 : 223,672.69 = 223,672.69 : x
  2. Step 2: Convert to fraction form
    150,856.13/223,672.69 = 223,672.69/x
  3. Step 3: Cross multiply
    150,856.13x = 223,672.69 × 223,672.69
  4. Step 4: Simplify right side
    150,856.13x = 50,029,471,133.47
  5. Step 5: Solve for x
    x = 50,029,471,133.47/150,856.13
  6. Step 6: Final answer
    x = 331,636.99

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.